Melchior Wirth

13 Publications

Mark all

[13]
2025 | Published | Journal Article | IST-REx-ID: 19625 | OA
Kumar RR, Wirth M. Operator-valued twisted Araki–Woods algebras. Communications in Mathematical Physics. 2025;406(5). doi:10.1007/s00220-025-05285-7
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[12]
2024 | Published | Journal Article | IST-REx-ID: 15373 | OA
Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 2024;287(3). doi:10.1016/j.jfa.2024.110475
[Published Version] View | Files available | DOI
 
[11]
2024 | Published | Journal Article | IST-REx-ID: 18900 | OA
Wirth M. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024;2024(14):10597-10614. doi:10.1093/imrn/rnae092
[Published Version] View | Files available | DOI
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 15350 | OA
Rouzé C, Wirth M, Zhang H. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 2024;405(4). doi:10.1007/s00220-024-04981-0
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[9]
2023 | Published | Journal Article | IST-REx-ID: 13177 | OA
Hua B, Keller M, Schwarz M, Wirth M. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. Proceedings of the American Mathematical Society. 2023;151(8):3401-3414. doi:10.1090/proc/14361
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[8]
2023 | Published | Journal Article | IST-REx-ID: 12104 | OA
Dello Schiavo L, Wirth M. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 2023;23(1). doi:10.1007/s00028-022-00859-7
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[7]
2023 | Published | Journal Article | IST-REx-ID: 12087 | OA
Wirth M, Zhang H. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2023;24:717-750. doi:10.1007/s00023-022-01220-x
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2023 | Published | Journal Article | IST-REx-ID: 13319 | OA
Vernooij M, Wirth M. Derivations and KMS-symmetric quantum Markov semigroups. Communications in Mathematical Physics. 2023;403:381-416. doi:10.1007/s00220-023-04795-6
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 11916 | OA
Wirth M. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 2022;7(3). doi:10.1007/s43036-022-00199-w
[Published Version] View | Files available | DOI
 
[4]
2022 | Published | Journal Article | IST-REx-ID: 11330 | OA
Wirth M. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 2022;187(2). doi:10.1007/s10955-022-02911-9
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[3]
2021 | Published | Journal Article | IST-REx-ID: 9627 | OA
Lenz D, Weinmann T, Wirth M. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 2021;64(3):443-447. doi:10.1017/S0013091521000080
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[2]
2021 | Published | Journal Article | IST-REx-ID: 9973 | OA
Wirth M, Zhang H. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 2021;387:761–791. doi:10.1007/s00220-021-04199-4
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[1]
2021 | Published | Journal Article | IST-REx-ID: 15261 | OA
Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 2021;280(6). doi:10.1016/j.jfa.2020.108848
[Published Version] View | DOI | Download Published Version (ext.)
 
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1 Grants


Gradient flow techniques for quantum Markov semigroups

2022-07-01 – 2024-09-30
Austrian Science Fund

13 Publications

Mark all

[13]
2025 | Published | Journal Article | IST-REx-ID: 19625 | OA
Kumar RR, Wirth M. Operator-valued twisted Araki–Woods algebras. Communications in Mathematical Physics. 2025;406(5). doi:10.1007/s00220-025-05285-7
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[12]
2024 | Published | Journal Article | IST-REx-ID: 15373 | OA
Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 2024;287(3). doi:10.1016/j.jfa.2024.110475
[Published Version] View | Files available | DOI
 
[11]
2024 | Published | Journal Article | IST-REx-ID: 18900 | OA
Wirth M. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024;2024(14):10597-10614. doi:10.1093/imrn/rnae092
[Published Version] View | Files available | DOI
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 15350 | OA
Rouzé C, Wirth M, Zhang H. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 2024;405(4). doi:10.1007/s00220-024-04981-0
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[9]
2023 | Published | Journal Article | IST-REx-ID: 13177 | OA
Hua B, Keller M, Schwarz M, Wirth M. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. Proceedings of the American Mathematical Society. 2023;151(8):3401-3414. doi:10.1090/proc/14361
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[8]
2023 | Published | Journal Article | IST-REx-ID: 12104 | OA
Dello Schiavo L, Wirth M. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 2023;23(1). doi:10.1007/s00028-022-00859-7
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[7]
2023 | Published | Journal Article | IST-REx-ID: 12087 | OA
Wirth M, Zhang H. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2023;24:717-750. doi:10.1007/s00023-022-01220-x
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2023 | Published | Journal Article | IST-REx-ID: 13319 | OA
Vernooij M, Wirth M. Derivations and KMS-symmetric quantum Markov semigroups. Communications in Mathematical Physics. 2023;403:381-416. doi:10.1007/s00220-023-04795-6
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 11916 | OA
Wirth M. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 2022;7(3). doi:10.1007/s43036-022-00199-w
[Published Version] View | Files available | DOI
 
[4]
2022 | Published | Journal Article | IST-REx-ID: 11330 | OA
Wirth M. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 2022;187(2). doi:10.1007/s10955-022-02911-9
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[3]
2021 | Published | Journal Article | IST-REx-ID: 9627 | OA
Lenz D, Weinmann T, Wirth M. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 2021;64(3):443-447. doi:10.1017/S0013091521000080
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[2]
2021 | Published | Journal Article | IST-REx-ID: 9973 | OA
Wirth M, Zhang H. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 2021;387:761–791. doi:10.1007/s00220-021-04199-4
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[1]
2021 | Published | Journal Article | IST-REx-ID: 15261 | OA
Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 2021;280(6). doi:10.1016/j.jfa.2020.108848
[Published Version] View | DOI | Download Published Version (ext.)
 
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